Calculus

2x + 1 = 6 2x = 5 x = 5/2 or 2.5

y = -x + 2

The graph is a straight line, with [slope = -1], and passing through the point [y=2] on the y-axis.

It is always the last digit.

2x-3y = 4

x+4y = -9 => x = -9-4y

Substitute x = -9-4y into the top equation:

2(-9-4y)-3y = 4

-18-8y-3y = 4

-8y-3y = 4+18

-11y = 22

Divide both sides by -11 to find the value of y:

y = -2

Substitute the value of y into the original equations to find the value of x:

Therefore: x = -1 and y = -2

Remember that the product of a minus times a minus is equal to a plus when working out the original equations,

Apply the reciprocal rule: If f(x) = 1/h(x) then f'(x) = -h'(x)/(h(x))^2

yes.

8x / 15 = 80

Multiply each side by 15:

8x = 1,200

Divide each side by 8:

x = 150

The Web site integrals.wolfram.com gives the following:

integral of sin2x/x = (1/2) (log x - Ci(2 x))

Ci is the cosine integral, a special function. Look at the site for a more detailed description.

What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.

The Web site integrals.wolfram.com gives the following:

integral of sin2x/x = (1/2) (log x - Ci(2 x))

Ci is the cosine integral, a special function. Look at the site for a more detailed description.

What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.

The Web site integrals.wolfram.com gives the following:

integral of sin2x/x = (1/2) (log x - Ci(2 x))

Ci is the cosine integral, a special function. Look at the site for a more detailed description.

What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.

The Web site integrals.wolfram.com gives the following:

integral of sin2x/x = (1/2) (log x - Ci(2 x))

Ci is the cosine integral, a special function. Look at the site for a more detailed description.

What this really means is that this integral can NOT be solved with the so-called elementary functions, i.e., using only polynomials, roots, trigonometric functions, natural logarithms, and the inverses of some of these.

It depends upon the size of the polygon, as well as its orientation (flat on the ground, or placed upright, etc.).

x = 3 and y = 0

6x3+29x2-40x-42 divided by 6x+5

Quotient: x2+4x-10

Remainder: 8

It depends on the problem you are trying to solve.

like; 2x + 3 = 13.

it would be "5". (Multiplication.)

or x/3 = 6. x= 18. this is a division problem.

Like I said, it all depends on your problem.

Subtract by 7x and divide by 2.

an unsolvable algebraic expression. It isn't equal to anything so it isn't an equation. It contains 2 variables x and n so without more info that is it.

5 cm is about 1 inch and a half

The term plus/minus is used to state the acceptable range of values for a number, or the estimated error of a measurement. If, for instance, you said 3.7+/-0.2, you would be saying "between 3.5 and 3.9". The term +/- is written as a plus sign, +, with a line drawn under it, so that it appears as an equal sign, =, moved down slightly, with a verticle line at the center extending from the bottom line to above the top line. (I describe it here, because symbols do not seem to be available in this forum.)

I am sure that a shape with six side has 9 diagonals. (I found out cause I really wanted to help people.)

Yes, it's direction may be constantly changing which would mean it is still accelerating.

If the equation is (-9-7)x = -5, then x= .3125 or 5/16

If the equation is -9-7x = -5, then x = -.571428 or -4/7

Unfortunately not - as the numbers suggest, the spacing is different.

You can't convert a unit of volume to a unit of length.

If the degree of the polynomial is odd, the range is all real numbers - for example, y = x5.

If the degree is even, use derivatives to find maxima or minima. You learn about derivatives, maxima and minima in any basic calculus course. Example:

y = x4 - 3x3

Take the derivative:

y' = 4x3 - 9x2

Solve for zero:

4x3 - 9x2 = 0

This will give you two maxima or minima; in this case, check at which of these points the function has the smallest value. Because of the positive coefficient of the leading term, the function values go from this point all the way to plus infinity.

Cosec x = -2 => sin x = -0.5

The primary solution is x = -pi/6 radians.

Therefore the solutions are: 2n*pi - pi/6 and (2n+1)*pi + pi/6 for all integer n.

If you counted 1 number per second, it would take at least 220 years to count to 6.9 billion.